Convergence of different wake alignment methods in a panel code for steady-state flows
Convergence of different wake alignment methods in a panel code for steady-state flows
复制标题
稳态流面板代码中不同尾流对准方法的收敛
DOI：
10.1007/s00773-016-0375-0
复制
发表时间：
2016
影响因子：
2.6
通讯作者：
Baowei Song
中科院分区：
文献类型：
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作者：
Youjiang Wang;M. Abdel‐Maksoud;Baowei Song
现代船舶螺旋桨分析面板规范中总是包含尾流对准模型。尾迹对准算法直接影响到收敛速度和计算精度。本文首先介绍了四种不同的数值方法来实现尾迹对准算法的稳定计算。它们在收敛历史和收敛速度方面表现得非常不同。与其他方法的比较表明，直接应用非定常方法收敛速度要慢得多。其次，将二阶和四阶龙格-库塔法等高阶数值方法引入尾流对准，得到了高阶尾流对准算法；分析结果表明，高阶方法产生的尾迹几何形状与低阶方法不同。并对推力系数和扭矩系数进行了比较。
Wake alignment models are always included in the modern panel codes for marine propeller analysis. The wake alignment algorithms influence directly the rate of convergence and the accuracy of calculations. In the present work, firstly, four different numerical methods to implement the wake alignment algorithms for the steady calculation are described. They perform quite differently in terms of convergence history and convergence rate. The comparison with the other methods shows that the direct application of the unsteady method leads to a much slower convergence rate. Secondly, high-order numerical methods including second-order and fourth-order Runge–Kutta methods are introduced into the wake alignment, which results in high-order wake alignment algorithms. The analysis of the results shows that the high-order methods generate a different wake geometry from the low-order method. The thrust coefficient and torque coefficient have also been compared.